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19 May, 10:32

How many food calories can a human burn up in an hour by exercising at this rate? (remember that only 20.0 % of the food energy used goes into mechanical energy.) ?

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  1. 19 May, 10:49
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    Human can produce a maximum mechanical power of 1/3 hp (horse-power).

    Horse power is a unit of power, it equals 746 watt (watt is also a power unit, known to be equal to a joule per second)

    So:

    1 ph = 746 watt = 746 J/s

    1/3 ph = 248.6 J/s

    we're looking for the calories, so

    1 joule = 0.239006 calories

    So human produce a maximum mechanical power of:

    248.6 J/s = 82.88 calories per second.

    We're looking for the number of calories consumed in three hours, so:

    82.88 cal/s = 82.88 cal/s * 3600 s * 3 = 895200 calories = 895.2 kilocalories (food calories).

    The number of food calories is 895.2 food calories
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